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kondaur [170]
3 years ago
10

A submarine is at the surface of the ocean, preparing to dive. It submerges and dives to −972 feet. Then, it ascends 308 feet to

avoid hitting an undersea cliff. What integer represents the submarine's position in feet (depth) after it ascends to avoid the cliff?
Mathematics
2 answers:
sukhopar [10]3 years ago
8 0
It is 664ft. below water, or - 664
NikAS [45]3 years ago
4 0

Answer:

The integer which represents the submarine's position in feet (depth) after it ascends to avoid the cliff = -664

Step-by-step explanation:

It submerges and dives to −972 feet. Then, it ascends 308 feet.

Initially it goes down by 972 feet and then goes up by 308 ft.

Since depth is more than elevation.

Final position is below sea level.

Final depth = 972 - 308 = 664 ft

The integer which represents the submarine's position in feet (depth) after it ascends to avoid the cliff = -664

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Write the trigonometry ratio for the triangle below.
Ludmilka [50]

Answer:

cos B = a/c

tan A = a/b

sin B = b/c.

Step-by-step explanation:

Sin = opposite / hypotenuse

cos = adjacent/ hypotenuse

tan = opposite/adjacent.

5 0
3 years ago
Read 2 more answers
If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10​
Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

We need to find the value of a.

The LCM of (2+i) and (3+i)  is (2+i)(3+i)

=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}

Now rationalize the denominator by multiplying by 5-5i/5-5i

=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}

We are given

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

Now after solving we have:

\frac{1}{10}-\frac{i}{10}=a+bi

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0
3 years ago
What is the rate of change between the point (0,0)and (2,100)
Ivenika [448]
The answer would just be 50/1 or just 50
8 0
3 years ago
The diameter of a quarter is 2.5 cm. What is it’s circumference?
anastassius [24]

Answer:

7.85 cm

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

c=\pi d

The diameter is 2.5 centimeters. Therefore, we can substitute 2.5 cm in for d.

c=\pi *2.5 cm

Now, find the circumference.

- In terms of pi:

c=\pi *2.5 cm

c= (2.5)\pi  cm

c= 2.5\pi  cm

-Using 3.14 as pi

c=\pi *2.5 cm

c=3.14 *2.5 cm

c=7.85 cm

-Using 3.14159... as pi

c=\pi *2.5 cm

c=7.85398163 cm

7 0
3 years ago
jennifer has a taco stand. she has found that her daily costs can be modeled by c(x)=x^2-40x+610, where c(x) is the cost, in dol
Minchanka [31]
C(x) = 300.

Our question becomes simple: 300 = x^2-40x+610

x^2-40x+610-300 = 0
x^2-40x+310 = 0

Now find the value for x with either the quadratic formula or by factorization.

Let me know how it goes. Giving the full answer won’t help you improve
6 0
3 years ago
Read 2 more answers
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